Question

give an example of how the zero product property applies to solving quadraticequations

Answer 1

(x+a)(x+b)=0
x=-a x=-b

Answer 2

I believe the zero product property allows you to set each factor to zero and solve it.
Hence the name zero product property. Product means times
example
(x+3)(x-2)=0
x+3=0 x-2=0
x=-3 x=+2